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Asymptotically Optimal Quantum Circuits for d-level Systems
Stephen S. Bullock, Dianne P. O'Leary, Gavin K. Brennen
As a qubit is a two-level quantum system whose state space is spanned by |0>, |1>, so a qudit is a d-level quantum system whose state space is spanned by |0>,...,|d-1>. Quantum com…
Criteria for Exact Qudit Universality
Gavin K. Brennen, Dianne P. O'Leary, Stephen S. Bullock
We describe criteria for implementation of quantum computation in qudits. A qudit is a d-dimensional system whose Hilbert space is spanned by states |0>, |1>,... |d-1>. An importan…
Stability of global entanglement in thermal states of spin chains
Gavin K. Brennen, Stephen S. Bullock
We investigate the entanglement properties of a one dimensional chain of spin qubits coupled via nearest neighbor interactions. The entanglement measure used is the n-concurrence,…
Scalable quantum computation in systems with Bose-Hubbard dynamics
Guido Pupillo, Ana Maria Rey, Gavin Brennen +2
Several proposals for quantum computation utilize a lattice type architecture with qubits trapped by a periodic potential. For systems undergoing many body interactions described b…
Time Reversal and n-qubit Canonical Decompositions
Stephen S. Bullock, Gavin K. Brennen, Dianne P. O'Leary
For n an even number of qubits and v a unitary evolution, a matrix decomposition v=k1 a k2 of the unitary group is explicitly computable and allows for study of the dynamics of the…